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Tcmidian3644
31.10.2019 •
Mathematics
Which equation does the graph of the systems of equations solve? it's a quadratic graph opening down and quadratic graph opening up. they intersect at (0,3) and (2,-5).
(a)x2 - 2x + 3 = 2x2 - 8x - 3
(b)x2 - 2x + 3 = 2x2 - 8x + 3
(c)-x2 - 2x + 3 = 2x2 - 8x - 3
(d)-x2 - 2x + 3 = 2x2 - 8x + 3
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Ответ:
D.![-x^{2} -2x+3=2x^{2} -8x+3](/tpl/images/0354/7878/5e4b3.png)
Step-by-step explanation:
We are given that,
The graph of the system of equations is a 'quadratic graph opening down and a quadratic graph opening up'.
This means that one quadratic equation will have leading co-efficient positive and other will have leading co-efficient negative.
So, we get that options A and B are discarded.
Further it is provided that the graph intersect at ( 0,3 ) and ( 2,-5 ).
This means that the pair of points must satisfy the given system of equations.
So, according to the options:
C.![-x^{2} -2x+3=2x^{2} -8x-3](/tpl/images/0354/7878/32672.png)
Putting x = 0, gives 3 = -3, which is not possible.
So, option C is dicarded.
D.![-x^{2} -2x+3=2x^{2} -8x+3](/tpl/images/0354/7878/5e4b3.png)
Putting x = 0 gives 3 = 3 and x = 2 gives -5 = -5.
Hence, the graph of the given system solves the equation
.
Ответ:
sorry don't know
Step-by-step explanation: